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Finding the Fourth Proportional to 478,162.24, 659,842.54 and 274,066.81

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Solution

The fourth proportional to 478,162.24, 659,842.54 and 274,066.81 is: 378,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,162.24 : 659,842.54 = 274,066.81 : x
  2. Step 2: Convert to fraction form
    478,162.24/659,842.54 = 274,066.81/x
  3. Step 3: Cross multiply
    478,162.24x = 659,842.54 × 274,066.81
  4. Step 4: Simplify right side
    478,162.24x = 180,840,937,705.32
  5. Step 5: Solve for x
    x = 180,840,937,705.32/478,162.24
  6. Step 6: Final answer
    x = 378,199.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.